288381313 has 16 divisors (see below), whose sum is σ = 327352320. Its totient is φ = 251672400.

The previous prime is 288381299. The next prime is 288381389. The reversal of 288381313 is 313183882.

It is a cyclic number.

It is not a de Polignac number, because 288381313 - 2¹³ = 288373121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (288381113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39978 + ... + 46636.

It is an arithmetic number, because the mean of its divisors is an integer number (20459520).

Almost surely, 2^288381313 is an apocalyptic number.

It is an amenable number.

288381313 is a deficient number, since it is larger than the sum of its proper divisors (38971007).

288381313 is a wasteful number, since it uses less digits than its factorization.

288381313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6828.

The product of its digits is 27648, while the sum is 37.

The square root of 288381313 is about 16981.7935742960. The cubic root of 288381313 is about 660.6767721223.

The spelling of 288381313 in words is "two hundred eighty-eight million, three hundred eighty-one thousand, three hundred thirteen".